Stability and Trajectories Analysis of a Fractional Generalization of Simple Pendulum Dynamic Equation
Type
Conference PaperDate
2019-08-15Online Publication Date
2019-08-15Print Publication Date
2019-06Permanent link to this record
http://hdl.handle.net/10754/656576
Metadata
Show full item recordAbstract
In this paper, we present the dynamics of the simple pendulum by using the fractional-order derivatives. Equations of motion are proposed for cases without input and external forcing. We use the fractional-order Euler-Lagrange equations to obtain the fractional-order dynamic equation of the simple pendulum. We perform equilibria analysis, indicate the conditions where stability dynamics can be observed for both integer and fractional-order models. Finally, phase diagrams have been plotted to visualize the effect of the fractional-order derivatives.Citation
N’Doye, I., & Kirati, T.-M. L. (2019). Stability and Trajectories Analysis of a Fractional Generalization of Simple Pendulum Dynamic Equation. 2019 18th European Control Conference (ECC). doi:10.23919/ecc.2019.8795821Sponsors
The research reported herein is supported by the King Abdullah University of Science and Technology (KAUST).Publisher
IEEEConference/Event name
2019 18th European Control Conference (ECC)Additional Links
https://ieeexplore.ieee.org/document/8795821/ae974a485f413a2113503eed53cd6c53
10.23919/ecc.2019.8795821